I really like the new school-themed mounts, but I think they have implemented them wrong. They should be reserved for that specific school only, or it isn't really a school mount. A "school" item should only be for that particular primary school. If not, then they should not be referred to as a "school" item.
There's no benefit to making it so only people of that school can use them, and also, they're school THEMED mounts, so they're just styled after that school. I'm actually not sure what you're hoping to accomplish with this, so please elaborate on why it would be a good idea to make them exclusive.